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\begin{equation}
\left(
\begin{array}{cc}
4 &amp; -2\\
8 &amp; -4
\end{array}
\right) 
\left(
\begin{array}{c}
\xi^{(1)}_1\\
\xi^{(1)}_2
\end{array}
\right)={\bf 0} \to 
\begin{array}{c}
4 \xi^{(1)}_1-2 \xi^{(1)}_2=0\\
8 \xi^{(1)}_1-4\xi^{(1)}_2=0
\end{array}
\to \xi^{(1)}_2=2 \xi^{(1)}_1.\tag{6.4.6}
\end{equation}
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